采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: wUg=jnY
%Display the Zernike function Z(n=5,m=1) e<A>??h^
clc ^xgPL'
clear nnu#rtvZp}
a=5;%%%%%%%%%%Z的阶数下标
(<Cg|*s
b=1;%%%%%%%%%%Z的阶数的上标 pfl^GgP#
x = -1:0.01:1; [z_ztK1
[X,Y] = meshgrid(x,x); DtS7)/<T
[theta,r] = cart2pol(X,Y); l]R7A_|
idx = r<=1; U? U3?Y-k`
z = nan(size(X)); qM
Qu!%o
z(idx) = zernfun(a,b,r(idx),theta(idx)); bq5we*"V
figure(1) VggSDb
pcolor(x,x,z), shading interp S5L0[SZ$!
axis square, colorbar tk 5p@l
xlabel('X'); cV`NQt <W
ylabel('Y'); \SgBI/L^
title(['Zernike function Z^a_b','(r,\theta)']) &(o&Y
figure(2) |Zo36@s
mesh(x,x,z) I&^hG\D
xlabel('X'); R:^jQ'1
ylabel('Y'); x
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title(['Zernike function Z^a_b','(r,\theta)'])